A population of b animals has had a number a of its members captured, marked, and released.
Let X be the number of animals it is necessary to recapture (without re-release) in order to
obtain m marked animals. Show that
P(X = n) = a
b
a − 1
m − 1
b − a
n − m
/
b − 1
n − 1
,
and find E(X). This distribution has been called negative hyper-geometric.
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